A Lecture on Model Predictive Control

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A Lecture on Model Predictive ControlJay H. LeeSchool of Chemical and Biomolecular EngineeringCenter for Process Systems EngineeringGeorgia Inst. of TechnologyPrepared for Pan American Advanced Studies Institute Program on Process Systems EngineeringSchedule Lecture 1: Introduction to MPC Lecture 2: Details of MPC Algorithm and Theory Lecture 3: Linear Model IdentificationLecture 1Introduction to MPC- Motivation- History and status of industrial use of MPC- Overview of commercial packagesKey Elements of MPC Formulation of the Control problem as an (deterministic) optimization problem On-line optimization Receding horizon implementation (with feedback update)()()),(0,,min10iiiiiipiiiiuuxFxux guxi= += Repeat!

• Must be coupled with on-line state / model parameter update • Requires on-line solution for each updated problem • Analytical solution possible only in a few cases (LQ control) • Computational limitation for numerical solution, esp. back in the ’50s and ’60s

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